Nonlinear studies on the effect of non-uniform heat generation/absorption on hydromagnetic flow of nanofluid over a vertical plate

摘要

The analytical and numerical studies are performed to investigate the non-uniformheat generation/absorption effect on the boundary layer flow of an incompressible, electricallyconducting nanofluid over a vertical plate in the presence of thermal radiation. The highly nonlineargoverning equations along with the boundary conditions are converted into ordinary differentialequations by appropriate similarity transformations. The transformed highly nonlinear ordinarydifferential equations are solved both analytically and numerically using homotopy analysis methodand fourth-order Runge–Kutta method with shooting technique, respectively, for the various valuesof physical parameters. The results show that the presence of both space and temperature dependentheat generation enhances the velocity and temperature profiles and reduces the solid volume fractionof nanofluid profile. Comparison between present analytical and numerical results is found to begood.